Fundamental form IV and curvature formulas of the hypersphere

Erhan GÜLER

doi:10.26637/MJM0804/0116

Abstract

We study curvature formulas and the fourth fundamental form IV of hypersurfaces in the four dimensional Euclidean geometry $\mathbb{E}^4$ . We calculate fourth fundamental form and curvatures for hypersurfaces, and also for hypersphere. Moreover, we give some relations of fundamentals forms, and curvatures of hypersphere.

Keywords:

Euclidean spaces, four space, hypersurface, hypersphere, curvature, fourth fundamental form.

Mathematics Subject Classification:

Mathematics

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Erhan GÜLER Bartın University, Faculty of Sciences, Department of Mathematics 74100 Bartın, Turkey. https://orcid.org/0000-0003-3264-6239

Pages: 2008-2011
Date Published: 01-10-2020
Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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